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Finding the Third Proportional to 280,560 and 435,314

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Solution

The third proportional to 280,560 and 435,314 is: 675,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,560 : 435,314 = 435,314 : x
  2. Step 2: Convert to fraction form
    280,560/435,314 = 435,314/x
  3. Step 3: Cross multiply
    280,560x = 435,314 × 435,314
  4. Step 4: Simplify right side
    280,560x = 189,498,278,596
  5. Step 5: Solve for x
    x = 189,498,278,596/280,560
  6. Step 6: Final answer
    x = 675,428.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.